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Finding the Third Proportional to 62,548 and 93,510

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Solution

The third proportional to 62,548 and 93,510 is: 139,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,548 : 93,510 = 93,510 : x
  2. Step 2: Convert to fraction form
    62,548/93,510 = 93,510/x
  3. Step 3: Cross multiply
    62,548x = 93,510 × 93,510
  4. Step 4: Simplify right side
    62,548x = 8,744,120,100
  5. Step 5: Solve for x
    x = 8,744,120,100/62,548
  6. Step 6: Final answer
    x = 139,798.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.